101221101121121 has 8 divisors (see below), whose sum is σ = 102904710801984. Its totient is φ = 99538273613520.

The previous prime is 101221101121109. The next prime is 101221101121123. The reversal of 101221101121121 is 121121101122101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101221101121121 - 2⁶ = 101221101121057 is a prime.

It is a super-2 number, since 2×101221101121121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101221101121121.

It is not an unprimeable number, because it can be changed into a prime (101221101121123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195282341 + ... + 195799986.

It is an arithmetic number, because the mean of its divisors is an integer number (12863088850248).

Almost surely, 2^{101221101121121} is an apocalyptic number.

It is an amenable number.

101221101121121 is a deficient number, since it is larger than the sum of its proper divisors (1683609680863).

101221101121121 is an equidigital number, since it uses as much as digits as its factorization.

101221101121121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391086631.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 101221101121121 its reverse (121121101122101), we get a palindrome (222342202243222).

The spelling of 101221101121121 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred one million, one hundred twenty-one thousand, one hundred twenty-one".